%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN365+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:21:57 AM UTC 2026
% Result : Theorem 11.20s 1.87s
% Output : CNFRefutation 11.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 6 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2116,conjecture,
( ( ! [X2] :
( 'big$up'(X2)
=> ( 'big$up'(h(X2))
& 'big$up'(g(X2)) ) )
& ! [X0] :
? [X1] :
( 'big$up'(X0)
=> ( 'big$up'(X1)
& 'big$ur'(X0,g(h(X1))) ) ) )
=> ! [X0] :
( 'big$up'(X0)
=> ? [X1] :
( 'big$up'(X1)
& 'big$ur'(X0,X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2] :
( 'big$up'(X2)
=> ( 'big$up'(h(X2))
& 'big$up'(g(X2)) ) )
& ! [X0] :
? [X1] :
( 'big$up'(X0)
=> ( 'big$up'(X1)
& 'big$ur'(X0,g(h(X1))) ) ) )
=> ! [X0] :
( 'big$up'(X0)
=> ? [X1] :
( 'big$up'(X1)
& 'big$ur'(X0,X1) ) ) ),
inference(negate_conjecture,[status(cth)],[x2116]) ).
cnf(c0,plain,
( 'big$ur'(X0,g(h(sK1(X0))))
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$up'(sK1(X0))
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$up'(g(X0))
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$up'(h(X0))
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
'big$up'(sK3),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( ~ 'big$up'(X0)
| ~ 'big$ur'(sK3,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$up'(sK3)
| ~ 'big$up'(g(h(sK1(sK3)))) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
~ 'big$up'(g(h(sK1(sK3)))),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
~ 'big$up'(h(sK1(sK3))),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
~ 'big$up'(sK1(sK3)),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
~ 'big$up'(sK3),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c4,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN365+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:38:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.20/1.87 % SZS status Theorem for theBenchmark.p
% 11.20/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------